Al-Khwarizmi
Applied Mathematics Webinar 

Next talk : June 2, 2026. 

Tuesday - 2:00 pm (GMT) 

Zoom link: https://ksu-hub.zoom.us/j/97753107489

Speaker: Ali Baklouti, university of Sfax, Tunisia.

Title: Deformations through symmetry: Bridges to Life Sciences and Beyond.

Abstract: This talk explores the important role of Lie theory as a common language connecting many areas of mathematics and science, including models that arise in the study of living systems. A central aspect of the presentation is deformation theory, which offers a natural framework for understanding symmetries and how they evolve under perturbations. Through the study of Lie groups and their deformations, we illustrate how these mathematical structures appear naturally in fields such as medicine, physics, chemistry, and biology, where they help describe complex phenomena and inspire new analytical methods. In this sense, Lie theory forms a bridge between abstract mathematical ideas and concrete scientific applications. At the same time, Lie theory remains a cornerstone of pure mathematics, with many applications in several areas. The talk highlights the unity and flexibility of this framework, showing how the same mathematical concepts can illuminate seemingly different areas of research. Finally, we present new conjectures in deformation theory together with recent advances in representation theory related to long-standing open problems. These developments provide new insight into the structure of Lie groups and their representations, while opening promising directions for future research in both mathematics and its applications.